{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import fetch_mldata, make_moons\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import LabelBinarizer\n",
    "from sklearn.metrics import accuracy_score\n",
    "\n",
    "from prml import nn\n",
    "\n",
    "np.random.seed(1234)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.1 Feed-forward Network Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RegressionNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data(func, n=50):\n",
    "    x = np.linspace(-1, 1, n)[:, None]\n",
    "    return x, func(x)\n",
    "\n",
    "def sinusoidal(x):\n",
    "    return np.sin(np.pi * x)\n",
    "\n",
    "def heaviside(x):\n",
    "    return 0.5 * (np.sign(x) + 1)\n",
    "\n",
    "func_list = [np.square, sinusoidal, np.abs, heaviside]\n",
    "plt.figure(figsize=(20, 10))\n",
    "x = np.linspace(-1, 1, 1000)[:, None]\n",
    "for i, func, n_iter in zip(range(1, 5), func_list, [1000, 10000, 10000, 10000]):\n",
    "    plt.subplot(2, 2, i)\n",
    "    x_train, y_train = create_toy_data(func)\n",
    "    model = RegressionNetwork(1, 3, 1)\n",
    "    optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "    for _ in range(n_iter):\n",
    "        model.clear()\n",
    "        loss = nn.square(y_train - model(x_train)).sum()\n",
    "        optimizer.minimize(loss)\n",
    "    y = model(x).value\n",
    "    plt.scatter(x_train, y_train, s=10)\n",
    "    plt.plot(x, y, color=\"r\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.3 Error Backpropagation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ClassificationNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data():\n",
    "    x = np.random.uniform(-1., 1., size=(100, 2))\n",
    "    labels = np.prod(x, axis=1) > 0\n",
    "    return x, labels.reshape(-1, 1)\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data()\n",
    "model = ClassificationNetwork(2, 4, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-3)\n",
    "history = []\n",
    "for i in range(10000):\n",
    "    model.clear()\n",
    "    logit = model(x_train)\n",
    "    log_likelihood = -nn.loss.sigmoid_cross_entropy(logit, y_train).sum()\n",
    "    optimizer.maximize(log_likelihood)\n",
    "    history.append(log_likelihood.value)\n",
    "    \n",
    "plt.plot(history)\n",
    "plt.xlabel(\"iteration\")\n",
    "plt.ylabel(\"Log Likelihood\")\n",
    "plt.show()\n",
    "    \n",
    "x0, x1 = np.meshgrid(np.linspace(-1, 1, 100), np.linspace(-1, 1, 100))\n",
    "x = np.array([x0, x1]).reshape(2, -1).T\n",
    "y = nn.sigmoid(model(x)).value.reshape(100, 100)\n",
    "\n",
    "levels = np.linspace(0, 1, 11)\n",
    "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train.ravel())\n",
    "plt.contourf(x0, x1, y, levels, alpha=0.2)\n",
    "plt.colorbar()\n",
    "plt.xlim(-1, 1)\n",
    "plt.ylim(-1, 1)\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.5 Regularization in Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data(n=10):\n",
    "    x = np.linspace(0, 1, n)[:, None]\n",
    "    return x, np.sin(2 * np.pi * x) + np.random.normal(scale=0.25, size=(10, 1))\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data()\n",
    "x = np.linspace(0, 1, 100)[:, None]\n",
    "\n",
    "plt.figure(figsize=(20, 5))\n",
    "for i, m in enumerate([1, 3, 30]):\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    model = RegressionNetwork(1, m, 1)\n",
    "    optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "    for j in range(10000):\n",
    "        model.clear()\n",
    "        y = model(x_train)\n",
    "        optimizer.minimize(nn.square(y - y_train).sum())\n",
    "        if j % 1000 == 0:\n",
    "            optimizer.learning_rate *= 0.9\n",
    "    y = model(x)\n",
    "    plt.scatter(x_train.ravel(), y_train.ravel(), marker=\"x\", color=\"k\")\n",
    "    plt.plot(x.ravel(), y.value.ravel(), color=\"k\")\n",
    "    plt.annotate(\"M={}\".format(m), (0.7, 0.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RegularizedRegressionNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "        self.prior = nn.Gaussian(0, 1)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2\n",
    "    \n",
    "    def log_prior(self):\n",
    "        logp = 0\n",
    "        for param in self.parameter.values():\n",
    "            logp += self.prior.log_pdf(param)\n",
    "        return logp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2WK9TpaWlERISQpUqVVizZk2R5+W/XvwWiwWTyYTVasVkMt0wByAcp0SJEkRHR/Pdd9+xZs0ao+N4lOrVqxMZGXnHP5eWlkbr1q154oknaNKkCe3bt887THTGjBnMnj2bunXrcu7cOcLDw+0dWxRQ7Ct5KaW6Ax201gNzH/cDmmmtI/ItEwj8obW+qpQaAvTUWrcp5HcNBgYD1KxZs/HJkyeLlc1erly5wtNPP82hQ4fYtWsXTzzxhE0/Fx0dTUZGRt5Qz/U3hICAADnixwmsVisNGjTg2rVrpKSkUKJECaMjCeFwtl7Jyx6TvU8Cm/M9HgeMu83yJYDfivq9rjLha7Va9YABAzSg165de1c/f7vHwrHi4+M1oJctW2Z0FCGcAmdN+AJ7gXpKqT8ppUoBocD6Au9EVfI97AwctsN6neK9995j8eLFvPbaa3Tt2vWOf77gvIBM9jrX3//+dxo0aMCUKVPyJhSFEHYY89daZwERwGZySn211jpFKTVFKXX91JaRSqkUpdQBIJKcQz9d3vbt24mKiuL555+/4avown34+PgwadIkjh49KmP/QuRT7DF/RwkODtZJSUmGrf/UqVM0btyYSpUq8c0331CuXDnDsojisVqtefM0Bw8ezDv/ktZaPokJj2PrmL98w7cQly9fpmvXrmRmZpKQkCDF7+Z8fHx46KGHSElJyTttgJZTbQgvJ+VfgNaa4cOHs2/fPpYtWyaXYfQAWuu8Lw0NGzYMq9Uqp9oQXs/X6ACuZv78+XkTvHI1Ls+glMJisXD48GG2bt2ad8inyWSSb1wLryVj/vns2rWLp59+mvbt27NhwwY5N7+HyczMpHTp0nmPrVarFL/wODLmf4d++eUXXnjhBWrWrMny5cul+D2M1pqxY8fe8Jx801p4M2k4cs4t3rNnT9LT01m3bh0VKlQwOpKwo+uTuxaLhZdffpmgoCBq164tp9oQXk3KHxg3bhxfffUVcXFxNp+6QbgPpRQBAQGYTCbeeecdTCYTJ06coHfv3gQEBMjQj/BKXj/mv2bNGnr06EFERATvvPOOw9cnjHP9uP709HRq1qxJly5dWL58udGxhLArGfO3wZEjR3jppZdo3rw5s2bNMjqOcLDre/gVKlRgyJAhrFy5khMnThgbSgiDeG35//HHH3Tr1o177rnHplM0C89iNpvx8fGRN33htbyy/LXWDBkyhMOHD/Pxxx9TvXp1oyMJJ6tWrRr9+vVj4cKFnDlzxug4Qjidx5Z/wbmM/I9jY2P56KOPeP3112nXrp2zowkXMWrUKK5cuUJsbKzRUYRwOo+c8L3dRVSee+45WrZsSbt27eSLXIJOnTrxr3/9i5MnT+Ln52d0HCGKzWsnfLXWZGRk3HAM9/VjvK9/kev+++9n6dKlUvyC0aNHc+bMGZYtW2Z0FCGcyiP3/PMX/nWRkZEcP36czZs3s3PnTpo2bWqvqMKNaa1p0qQJFy5c4PDhw7JDINye1+75Q84hfTExMTc8V6VKFRITE5k9e7YUv8ijlGL06NH88MMPJCYmGh1HCKfxyPK/vuef3/jx4+nRowcvv/yyQamEq+revTs1a9bk7bffNjqKEE7jceWff8jHZDLxyy+/4O/vj9aaihUrGh1PuCBfX1+ioqLYuXMne/fuNTqOEE7hceWf/zwuM2fOpG/fvmRnZ9O7d28qV64s53ERhQoPD6ds2bI3DRcK4ak8csIXcj4BzJkzh5EjR7JgwQLCw8Ol+MVtjRo1irlz53L8+HFq1KhhdBwh7opXT/hCzieA/v37Y7FYpPiFTUaMGIHVauXdd981OooQDuexe/5C3I0ePXqwZcsWTp8+zb333mt0HCHumNfv+QtxN8xmMxkZGSxevNjoKEI4lJS/EPk8+eSTNG/eHIvFQnZ2ttFxhHAYKX8hCjCbzRw7doyNGzcaHUUIh5HyF6KArl27UqNGDebMmWN0FCEcRspfiAJ8fX2JiIhg27ZtHDx40Og4QjiElL8QhRg4cCBlypS54eSAQngSKX8hClGxYkX69+/PihUr+O9//2t0HCHsTspfiFuIjIzk6tWrvP/++0ZHEcLupPyFuIWHH36YZ599lnnz5pGZmWl0HCHsSspfiNu4fmbY1atXGx1FCLuS8hfiNv72t7/x8MMPY7FYcNVToQhxN6T8hbgNpRSRkZEkJSWxe/duo+MIYTdS/kIUISwsjICAADnsU3gUu5S/UqqDUup7pdQxpdSrhbxeWim1Kvf1b5RSte2xXiGcwd/fn4EDB7J27VpOnz5tdBwh7KLY5a+UKgG8BzwLPAr0Uko9WmCxcCBda10XiAFmFHe9QjhTREQEWmvmzZtndBQh7MIee/5NgWNa6+Na60xgJdClwDJdgCW59+OBtkquriLcSK1atQgJCSEuLo5Lly4ZHUeIYrNH+VcD8n8WTs19rtBltNZZwG9AoB3WLYTTmEwmzp8/z4oVK4yOIkSxudSEr1JqsFIqSSmVdObMGaPjCHGDv/71rzRs2FAO+xQewR7l/zOQ/2rX1XOfK3QZpZQvUB44V/AXaa3jtNbBWuvgoKAgO0QTwn6UUphMJlJSUti2bZvRcYQoFnuU/16gnlLqT0qpUkAosL7AMuuB/rn3uwPbtOw6CTcUGhpKUFCQHPYp3F6xyz93DD8C2AwcBlZrrVOUUlOUUp1zF1sEBCqljgEjgZsOBxXCHdxzzz0MHTqUxMREfvzxR6PjCHHXlKvugAcHB+ukpCSjYwhxk7S0NGrVqsXw4cPlal/C5Sil9mmtg4tazqUmfIVwB1WqVKFHjx588MEH/P7770bHEeKuSPkLcReioqK4cOECH374odFRhLgrUv5C3IXg4GBatGjB3Llzyc7ONjqOEHdMyl+IuxQVFcXx48dJTEw0OopwYwXnXZ01DyvlL8RdCgkJoWbNmjLpK+5adHQ0ZrM5r/C11pjNZqKjox2+bil/Ie6Sr68vI0aMYPv27Rw4cMDoOMLNaK3JyMjAYrHkvQGYzWYsFgsZGRkO/wQgh3oKUQzp6enUqFEj7+gfIe5E/sK/zmQyERMTw92e+9LWQz2l/IUopoiICBYsWMCpU6eoXLmy0XGEm9Fa4+Pzv0EYq9V618UPcpy/EE4TGRlJZmYmsbGxRkcRbkZrTWho6A3P5Z8DcCQpfyGK6cEHH6RTp07MmzePK1euGB1HuAmtNcOGDWP16tWUK1eO8+fPYzKZbpgDcCQpfyHsYOTIkZw5c0bO9S/uyPbt2/Hx8WHLli1UqFCBmJgYTCYTAQEBxRr6sYWM+QthB1prGjVqRFZWFsnJyQ7/H1e4v5iYGEaOHMns2bMxm815z2utZcxfCHehlGLkyJGkpKSwZcsWo+MIF7dnzx7Gjh1Lly5diIqKuuE1Z+04yJ6/EHaSmZlJrVq1aNCgAZs2bTI6jnBR58+fp1GjRvj4+PDvf/+bChUq2PX3y56/EE5WqlQpIiIi2Lx5M4cOHTI6jnBBVquV/v37k5aWxurVq+1e/HdCyl8IOxo6dCh+fn7Mnj3b6CjCBc2aNYvExERmzZpFkyZNDM0i5S+EHQUGBvLSSy+xfPly0tLSjI4jXMhXX33FuHHj6N69OxEREUbHkfIXwt7MZjNZWVm88847RkcRLuLXX38lNDSUOnXqsGjRIpc4GkzKXwg7e+CBB+jatSuxsbH88ccfRscRBsvOzqZ3796kp6cTHx9PuXLljI4ESPkL4RCjR48mIyNDTvYmmDx5Mtu2beO9997jiSeeMDpOHjnUUwgHadmyJT///DNHjx7F19fX6DjCAP/4xz/o2LEjAwYMcNolP+VQTyEMNnr0aE6cOEF8fLzRUYQBTp48Sd++fWnQoAHz5s0zOs5NpPyFcJDOnTvz8MMPM2PGDKddmk+4hqtXr9K9e3eysrKIj4/Hz8/P6Eg3kfIXwkF8fHwYO3Ys+/fv5/PPPzc6jnCiqKgokpKSWLJkCXXr1jU6TqGk/IVwoD59+lCtWjWmT59udBThJEuWLGH+/PmMHTuWkJAQo+PckpS/EA5UqlQpRo4cyfbt2/nmm2+MjiMcbP/+/QwdOpTWrVvz5ptvGh3ntqT8hXCwQYMGUaFCBWbMmGF0FOFA6enpdO3alcDAQFauXOnyR3hJ+QvhYGXLliUiIoKEhAQOHz5sdBzhAFarlb59+5Kamkp8fDz33Xef0ZGKJOUvhBNERkbi5+cnY/8eavLkyWzcuBGLxULz5s2NjmMTKX8hnKBSpUoMHTqUFStWcPz4caPjCDvasGEDU6ZMYcCAAQwdOtToODaT8hfCSUaNGoWvr6+M/XuQo0eP0rdvXxo3bsy8efNc4oRttpLyF8JJqlatSnh4OB9++CGnT582Oo4opgsXLhASEkLJkiVZu3atS36R63ak/IVworFjx6K15u233zY6iigGq9VKWFgY33//PatXr6ZWrVpGR7pjUv5COFGtWrUICwtjwYIF/PLLL0bHEXfpzTffJCEhgZkzZ9KmTRuj49wVKX8hnGzcuHFcu3ZNxv7dVGJiIpMmTaJv376YTCaj49y1YpW/UqqiUmqLUupo7j8LvRqxUipbKbU/97a+OOsUwt3VrVuXsLAwYmNj+c9//mN0HHEHvvvuO3r37k2jRo2Ii4tzqwnegoq75/8q8E+tdT3gn7mPC3NZa90w99a5mOsUwu1NnDiR7Oxspk2bZnQUYaP09HS6dOlCmTJlSEhIcLsJ3oKKW/5dgCW595cArnsWIyFcSJ06dXjxxReJi4sjNTXV6DiiCFlZWfTs2ZOTJ0+ydu1aatSoYXSkYitu+VfWWqfl3v8FqHyL5e5RSiUppfYopeQNQghgwoQJaK2ZOnWq0VFEEcaMGcOWLVuIjY2lRYsWRsexiyLLXym1VSl1qJBbl/zL6ZyrVdzqihW1ci8r1huYo5R64BbrGpz7JpF05syZO90WIdxKrVq1CA8PZ+HChZw4ccLoOOIWFixYwJw5c4iMjCQ8PNzoOHZTrGv4KqW+B57WWqcppaoA27XWDxXxM4uBRK31ba9tJ9fwFd4gNTWVunXr0rNnT5YsWVL0Dwin2r59O+3bt6dt27YkJia6/Jk6wXnX8F0P9M+93x/4tJAgFZRSpXPvVwJaAN8Vc71CeITq1aszYsQIli1bRnJystFxRD4//vgj3bp1o169eqxatcotiv9OFLf8pwPtlVJHgXa5j1FKBSulFuYu8wiQpJQ6AHwBTNdaS/kLkWvcuHGUK1eO8ePHGx1F5EpPT6dTp05Azonbypcvb3Ai+yvWW5nW+hzQtpDnk4CBufd3AY8XZz1CeLKKFSvyyiuvMH78eHbu3EnLli2NjuTVrl27Rvfu3fnxxx/ZunUrDzxQ6BSl25Nv+ArhRAXn2K4/joyM5P777+fVV1+9aRnhOAX/XVutVoYNG8a2bdtYuHAhTz31lEHJHE/KXwgniY6Oxmw25xWO1hqz2Ux0dDT+/v5MmjSJr7/+mk8/vWnqTDhAYX+Pp556ikWLFjFx4kTCwsIMTuhYUv5COIHWmoyMDCwWS17hmM1mLBYLGRkZaK0JDw/nkUceYcyYMWRmZhod2aMV9vfo2LEjX3/9NQ8++CDR0dFGR3Q8rbVL3ho3bqyF8CRWq1WbTKbr34fRgDaZTNpqteYts3HjRg3oWbNmGZjUOxT296hataq+dOmS0dGKBUjSNnRssY7zdyQ5zl94Iq01Pj7/+8BttVpvOjnYs88+y+7duzl69ChBQUHOjuhVCv49zp49S2BgoIGJis9Zx/kLIWykc4d68ss/5nzdrFmz+OOPP7xj6MFAWmsGDx58w3Ovv/6690y42/LxwIibDPsIT5J/iOH6UE/Bx/m9/PLL2sfHRycnJxuU2LNZrVY9dOhQDeiSJUvqvXv33vbv4U6wcdjHs76yJoSLUkoREBCAyWQiJiYGpRQxMTEABAQE3DT0M3nyZFauXMnw4cP58ssv3fq88a4oMzOTTZs24ePjw4YNGwgODqZx48ZA4X8PTyRj/kI4kdb6hmIp+Di/RYsWMXDgQBYvXkz//v0LXUbcuezsbHr16sWaNWtYunQp/fr1y3vtdn8PdyFj/kK4oILFcruiefHFF3nyyScZM2YM58+fd3Q0r6CumoHAAAAMlklEQVS1ZtiwYaxZs4aZM2feUPxw+7+Hp5HyF8JF+fj4EBsby/nz5+W8P3Yyfvx4FixYwPjx4xk1apTRcQwl5S+EC2vQoAGRkZHExcWxe/duo+O4tbfeeovp06czZMgQ3njjDaPjGE7G/IVwcRcuXOCxxx6jTJkyfPvtt9xzzz1GR3I77777LiNGjCA0NJTly5dTokQJoyM5jIz5C+EhypYtS1xcHEeOHGHy5MlGx3E7ixYtYsSIEXTp0oWlS5d6dPHfCSl/IdzAM888Q3h4OG+99RZ79+41Oo7bWLFiBYMGDeKZZ55h1apVlCxZ0uhILkPKXwg3MWvWLKpUqcKLL77I1atXjY7j8j766CPCwsJo1aoV69ato3Tp0kZHcilS/kK4ifLlyxMXF0dKSgoTJ040Oo5LW7FiBf369eOpp54iMTGRMmXKGB3J5Uj5C+FGOnbsyLBhw5g5cyabN282Oo5LWr58OWFhYXnF7+/vb3QklyTlL4SbmTVrFvXr1ycsLIxff/3V6DguZcGCBVL8NpLyF8LN+Pn5sXLlSn7//XcGDBiA1Wo1OpJLmDNnDoMHD6ZDhw5s3LhRir8IUv5CuKHHHnuMmJgYNm3axPTp042OYyitNa+//jpms5lu3bqRkJCAn5+f0bFcnpS/EG5qyJAh9O7dm4kTJ7Jx40aj4xgiOzubESNG8NprrxEWFsbKlSspVaqU0bHcgpS/EG5KKcWCBQto0KABvXv35ujRo0ZHcqorV64QGhrKe++9x5gxY/jwww/x9ZWz1NtKyl8IN1amTBk++eQTfH196dKlC7///rvRkZzi3LlzdOjQgfj4eGbNmsVbb711w+UYRdHk35YQbq527dqsXr2aH374gW7dupGZmWl0JIc6evQoTz75JLt372bFihWMHDnS6EhuScpfCA/Qpk0bFi5cyNatWz36CKAvv/yS5s2bk56ezrZt2+jdu7fRkdyWlL8QHmLAgAFMmzaNjz/+mFGjRnnUhci11sydO5d27dpx3333sWfPHlq0aGF0LLcmsyNCeJBXXnmFtLQ05syZQ7ly5YiOjnb7q1NdunSJoUOHsmzZMjp37szSpUspX7680bHcnpS/EB7k+oXhL1y4wJQpU7h69SrTpk1z2zeAI0eO0LNnT5KTk5kyZQoTJkyQiV07kfIXwsP4+PiwcOFCSpcuzYwZM7hy5QoxMTFu9QagtWbx4sVERERQpkwZPvvsM5599lmjY3kUKX8hPJCPjw/z5s2jdOnSWCwWzp49y8KFC/OuAqa1vuHNoOBjI509e5aIiAhWrVpFmzZtWLZsGVWrVjU6lseR8hfCQ10fAgoKCmLixIkcO3aMhIQE5s+fT0ZGRt6nAa01ZrOZgIAAoqOjDc0cHx/P8OHDycjIYOrUqYwdO1auvOUgMngmhAdTSjFhwgTWrl1LcnIyTZo04ciRI1gsFsxmc17xWywWMjIyDDtC6NSpU3Tr1o0XXniBGjVqsG/fPsaNGyfF70haa5e8NW7cWAsh7Ofbb7/VtWrV0iVKlNBNmzbVQN7NZDJpq9Xq9EyXL1/Wr7/+uvbz89N+fn566tSpOjMz0+k5PAmQpG3oWKVd9Fjg4OBgnZSUZHQMITzKb7/9RmRkJEuXLr3heavV6tQx/6ysLJYuXcqUKVM4efIk3bt3Z+bMmdSqVctpGTyVUmqf1jq4qOWKNeyjlHpBKZWilLIqpW65MqVUB6XU90qpY0qpV4uzTiHE3StfvjyLFy+mY8eONzw/ePBgpwz5XL16lSVLlvDII48QHh5OUFAQW7duZc2aNVL8TlbcMf9DQFfgq1stoJQqAbwHPAs8CvRSSj1azPUKIe6Czh3j37hxI0OGDCEqKirv0NDg4GBOnDjhkPWmpaURHR1NrVq1GDBgAP7+/nz66af861//om3btg5Zp7i9Yh3to7U+DBT1cbEpcExrfTx32ZVAF+C74qxbCHHnlFIEBARgMpnyjvYZNmwYzz//PN9++y0PPPAAISEh9O/fn3bt2hXrwudnzpzhk08+YdWqVWzfvh2tNc899xyRkZG0a9fOZQ4t9VZ2GfNXSm0HRmutbxqkV0p1BzporQfmPu4HNNNaRxSy7GBgMEDNmjUbnzx5stjZhBA304Uc53/69GliY2OJi4vj/Pnz+Pn50b59e1q2bEnDhg1p0KABQUFBhZb2hQsXOHr0KN9//z27du3iyy+/JDk5GYAHH3yQ0NBQ+vXrR926dZ22jd7K1jH/IstfKbUVuL+QlyZorT/NXWY7dij//GTCVwhjZGZm8tVXX7F+/XoSExP56aef8l4rVaoUFSpUoEKFCmituXjxIhcvXiQ9PT1vmTJlytCiRQtatWrFs88+S6NGjWQv34lsLf8ih3201u2KmeVnoEa+x9VznxNCuKBSpUrRrl072rVrx9y5czl37hwHDhzgwIED/PLLL6Snp3P+/HlKlCiBv78//v7+VKtWjQcffJB69erx0EMPyaUU3YAzvuG7F6inlPoTOaUfCshJuIVwE4GBgbRp04Y2bdoYHUXYUXEP9fy7UioVeBL4TCm1Off5qkqpjQBa6ywgAtgMHAZWa61TihdbCCFEcRT3aJ9PgE8Kef4/QMd8jzcCG4uzLiGEEPYj5/YRQggvJOUvhBBeSMpfCCG8kJS/EMIQBb9j5KonmfRUUv5CCKeLjo7Ou54A/O+cQ0ZfTMabSPkLIZxKa01GRobLXVDG28hlHIUQTnX98pIAFosFi8UCcMPJ5oTjycVchBCG0Frj4/O/wQdnX1DGUznlYi5CCHE3rg/15Jd/DkA4npS/EMKp8o/xm0wmrFYrJpPphjkA4Xgy5i+EcKrCLihzfQ4gICBAhn6cRMb8hRCGKOyCMlL8xSdj/kIIl1aw6KX4nUvKXwghvJCUvxBCeCEpfyGE8EJS/kII4YWk/IUQwgu57KGeSqkzwEk7/KpKwFk7/B53Idvr2WR7PZe9trWW1jqoqIVctvztRSmVZMsxr55CttezyfZ6Lmdvqwz7CCGEF5LyF0IIL+QN5R9ndAAnk+31bLK9nsup2+rxY/5CCCFu5g17/kIIIQrwmPJXSnVQSn2vlDqmlHq1kNdLK6VW5b7+jVKqtvNT2o8N2ztSKfWdUuqgUuqfSqlaRuS0l6K2N99y3ZRSWinltkeI2LKtSqkeuX/fFKXUR87OaE82/LdcUyn1hVLq29z/njsakdNelFIfKKX+q5Q6dIvXlVJqbu6/j4NKqT87JIjW2u1vQAngR6AOUAo4ADxaYJnhwPzc+6HAKqNzO3h7WwNlcu8P8/TtzV2uLPAVsAcINjq3A/+29YBvgQq5j+8zOreDtzcOGJZ7/1HghNG5i7nNTwF/Bg7d4vWOwD8ABTQHvnFEDk/Z828KHNNaH9daZwIrgS4FlukCLMm9Hw+0Ve57Dtkit1dr/YXW+lLuwz1AdSdntCdb/r4ArwMzgCvODGdntmzrIOA9rXU6gNb6v07OaE+2bK8GyuXeLw/8x4n57E5r/RVw/jaLdAGW6hx7gAClVBV75/CU8q8GnM73ODX3uUKX0VpnAb8BgU5JZ3+2bG9+4eTsSbirIrc396NxDa31Z84M5gC2/G0fBB5USn2tlNqjlOrgtHT2Z8v2RgN9lVKpwEZghHOiGeZO//++K3IZRw+nlOoLBAOtjM7iKEopH2A2MMDgKM7iS87Qz9PkfKL7Sin1uNY6w9BUjtMLWKy1nqWUehJYppR6TGttNTqYO/OUPf+fgRr5HlfPfa7QZZRSvuR8fDznlHT2Z8v2opRqB0wAOmutrzopmyMUtb1lgceA7UqpE+SMk65300lfW/62qcB6rfU1rfVPwA/kvBm4I1u2NxxYDaC13g3cQ855cDyVTf9/F5enlP9eoJ5S6k9KqVLkTOiuL7DMeqB/7v3uwDadO7vihorcXqVUI+B9corfnceEoYjt1Vr/prWupLWurbWuTc4cR2ettTteBNqW/5YTyNnrRylViZxhoOPODGlHtmzvKaAtgFLqEXLK/4xTUzrXeiAs96if5sBvWus0e6/EI4Z9tNZZSqkIYDM5Rw98oLVOUUpNAZK01uuBReR8XDxGzmRLqHGJi8fG7X0buBdYkzuvfUpr3dmw0MVg4/Z6BBu3dTPwN6XUd0A2MEZr7ZafYm3c3lHAAqWUmZzJ3wFuvOOGUupjct68K+XOY0wCSgJoreeTM6/RETgGXAJedEgON/53KIQQ4i55yrCPEEKIOyDlL4QQXkjKXwghvJCUvxBCeCEpfyGE8EJS/kII4YWk/IUQwgtJ+QshhBf6f/aoYMNYdKTcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = RegularizedRegressionNetwork(1, 30, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "for i in range(10000):\n",
    "    model.clear()\n",
    "    pred = model(x_train)\n",
    "    log_posterior = -nn.square(pred - y_train).sum() + model.log_prior()\n",
    "    optimizer.maximize(log_posterior)\n",
    "    if i % 1000 == 0:\n",
    "        optimizer.learning_rate *= 0.9\n",
    "y = model(x).value\n",
    "plt.scatter(x_train, y_train, marker=\"x\", color=\"k\")\n",
    "plt.plot(x, y, color=\"k\")\n",
    "plt.annotate(\"M=30\", (0.7, 0.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_mnist():\n",
    "    mnist = fetch_mldata(\"MNIST original\")\n",
    "    x = mnist.data\n",
    "    label = mnist.target\n",
    "\n",
    "    x = x / np.max(x, axis=1, keepdims=True)\n",
    "    x = x.reshape(-1, 28, 28, 1)\n",
    "\n",
    "    x_train, x_test, label_train, label_test = train_test_split(x, label, test_size=0.1)\n",
    "    y_train = LabelBinarizer().fit_transform(label_train)\n",
    "    return x_train, x_test, y_train, label_test\n",
    "x_train, x_test, y_train, label_test = load_mnist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0000, accuracy 0.08, Log Likelihood -6095.68\n",
      "step 0100, accuracy 0.50, Log Likelihood -360.794\n",
      "step 0200, accuracy 0.66, Log Likelihood -165.125\n",
      "step 0300, accuracy 0.74, Log Likelihood -141.731\n",
      "step 0400, accuracy 0.84, Log Likelihood -47.6741\n",
      "step 0500, accuracy 0.84, Log Likelihood -95.9373\n",
      "step 0600, accuracy 0.82, Log Likelihood -140.599\n",
      "step 0700, accuracy 0.88, Log Likelihood -71.0432\n",
      "step 0800, accuracy 0.76, Log Likelihood -184.161\n",
      "step 0900, accuracy 0.90, Log Likelihood -68.0288\n"
     ]
    }
   ],
   "source": [
    "class ConvolutionalNeuralNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.conv1 = nn.image.Convolve2d(\n",
    "                nn.random.truncnormal(-2, 2, 1, (5, 5, 1, 20)),\n",
    "                stride=(1, 1), pad=(0, 0))\n",
    "            self.b1 = nn.array([0.1] * 20)\n",
    "            self.conv2 = nn.image.Convolve2d(\n",
    "                nn.random.truncnormal(-2, 2, 1, (5, 5, 20, 20)),\n",
    "                stride=(1, 1), pad=(0, 0))\n",
    "            self.b2 = nn.array([0.1] * 20)\n",
    "            self.w3 = nn.random.truncnormal(-2, 2, 1, (4 * 4 * 20, 100))\n",
    "            self.b3 = nn.array([0.1] * 100)\n",
    "            self.w4 = nn.random.truncnormal(-2, 2, 1, (100, 10))\n",
    "            self.b4 = nn.array([0.1] * 10)\n",
    "        \n",
    "    def __call__(self, x):\n",
    "        h = nn.relu(self.conv1(x) + self.b1)\n",
    "        h = nn.max_pooling2d(h, (2, 2), (2, 2))        \n",
    "        h = nn.relu(self.conv2(h) + self.b2)\n",
    "        h = nn.max_pooling2d(h, (2, 2), (2, 2))\n",
    "        h = h.reshape(-1, 4 * 4 * 20)\n",
    "        h = nn.relu(h @ self.w3 + self.b3)\n",
    "        return h @ self.w4 + self.b4\n",
    "\n",
    "model = ConvolutionalNeuralNetwork()\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-3)\n",
    "\n",
    "while True:\n",
    "    indices = np.random.permutation(len(x_train))\n",
    "    for index in range(0, len(x_train), 50):\n",
    "        model.clear()\n",
    "        x_batch = x_train[indices[index: index + 50]]\n",
    "        y_batch = y_train[indices[index: index + 50]]\n",
    "        logit = model(x_batch)\n",
    "        log_likelihood = -nn.loss.softmax_cross_entropy(logit, y_batch).mean(0).sum()\n",
    "        if optimizer.iter_count % 100 == 0:\n",
    "            accuracy = accuracy_score(\n",
    "                np.argmax(y_batch, axis=-1), np.argmax(logit.value, axis=-1)\n",
    "            )\n",
    "            print(\"step {:04d}\".format(optimizer.iter_count), end=\", \")\n",
    "            print(\"accuracy {:.2f}\".format(accuracy), end=\", \")\n",
    "            print(\"Log Likelihood {:g}\".format(log_likelihood.value[0]))\n",
    "        optimizer.maximize(log_likelihood)\n",
    "        if optimizer.iter_count == 1000:\n",
    "            break\n",
    "    else:\n",
    "        continue\n",
    "    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accuracy (test): 0.862\n"
     ]
    }
   ],
   "source": [
    "print(\"accuracy (test):\", accuracy_score(np.argmax(model(x_test).value, axis=-1), label_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.6 Mixture Density Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_toy_data(func, n=300):\n",
    "    t = np.random.uniform(size=(n, 1))\n",
    "    x = func(t) + np.random.uniform(-0.05, 0.05, size=(n, 1))\n",
    "    return x, t\n",
    "\n",
    "def func(x):\n",
    "        return x + 0.3 * np.sin(2 * np.pi * x)\n",
    "\n",
    "def sample(x, t, n=None):\n",
    "    assert len(x) == len(t)\n",
    "    N = len(x)\n",
    "    if n is None:\n",
    "        n = N\n",
    "    indices = np.random.choice(N, n, replace=False)\n",
    "    return x[indices], t[indices]\n",
    "\n",
    "x_train, y_train = create_toy_data(func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "class MixtureDensityNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_components):\n",
    "        self.n_components = n_components\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2c = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2c = nn.zeros(n_components)\n",
    "            self.w2m = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2m = nn.zeros(n_components)\n",
    "            self.w2s = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2s = nn.zeros(n_components)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        coef = nn.softmax(h @ self.w2c + self.b2c)\n",
    "        mean = h @ self.w2m + self.b2m\n",
    "        std = nn.exp(h @ self.w2s + self.b2s)\n",
    "        return coef, mean, std\n",
    "    \n",
    "def gaussian_mixture_pdf(x, coef, mu, std):\n",
    "    gauss = (\n",
    "        nn.exp(-0.5 * nn.square((x - mu) / std))\n",
    "        / std / np.sqrt(2 * np.pi)\n",
    "    )\n",
    "    return (coef * gauss).sum(axis=-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "model = MixtureDensityNetwork(1, 5, 3)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-4)\n",
    "\n",
    "for i in range(30000):\n",
    "    model.clear()\n",
    "    coef, mean, std = model(x_train)\n",
    "    log_likelihood = nn.log(gaussian_mixture_pdf(y_train, coef, mean, std)).sum()\n",
    "    optimizer.maximize(log_likelihood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1080 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(x_train.min(), x_train.max(), 100)[:, None]\n",
    "y = np.linspace(y_train.min(), y_train.max(), 100)[:, None, None]\n",
    "coef, mean, std = model(x)\n",
    "\n",
    "plt.figure(figsize=(20, 15))\n",
    "plt.subplot(2, 2, 1)\n",
    "plt.plot(x[:, 0], coef.value[:, 0], color=\"blue\")\n",
    "plt.plot(x[:, 0], coef.value[:, 1], color=\"red\")\n",
    "plt.plot(x[:, 0], coef.value[:, 2], color=\"green\")\n",
    "plt.title(\"weights\")\n",
    "\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.plot(x[:, 0], mean.value[:, 0], color=\"blue\")\n",
    "plt.plot(x[:, 0], mean.value[:, 1], color=\"red\")\n",
    "plt.plot(x[:, 0], mean.value[:, 2], color=\"green\")\n",
    "plt.title(\"means\")\n",
    "\n",
    "plt.subplot(2, 2, 3)\n",
    "proba = gaussian_mixture_pdf(y, coef, mean, std).value\n",
    "levels_log = np.linspace(0, np.log(proba.max()), 21)\n",
    "levels = np.exp(levels_log)\n",
    "levels[0] = 0\n",
    "xx, yy = np.meshgrid(x.ravel(), y.ravel())\n",
    "plt.contour(xx, yy, proba.reshape(100, 100), levels)\n",
    "plt.xlim(x_train.min(), x_train.max())\n",
    "plt.ylim(y_train.min(), y_train.max())\n",
    "\n",
    "plt.subplot(2, 2, 4)\n",
    "argmax = np.argmax(coef.value, axis=1)\n",
    "for i in range(3):\n",
    "    indices = np.where(argmax == i)[0]\n",
    "    plt.plot(x[indices, 0], mean.value[(indices, np.zeros_like(indices) + i)], color=\"r\", linewidth=2)\n",
    "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.7 Bayesian Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train, y_train = make_moons(n_samples=500, noise=0.2)\n",
    "y_train = y_train[:, None]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Gaussian(nn.Network):\n",
    "\n",
    "    def __init__(self, shape):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.m = nn.zeros(shape)\n",
    "            self.s = nn.zeros(shape)\n",
    "\n",
    "    def __call__(self):\n",
    "        self.q = nn.Gaussian(self.m, nn.softplus(self.s) + 1e-8)\n",
    "        return self.q.draw()\n",
    "\n",
    "\n",
    "class BayesianNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output=1):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.qw1 = Gaussian((n_input, n_hidden))\n",
    "            self.qb1 = Gaussian(n_hidden)\n",
    "            self.qw2 = Gaussian((n_hidden, n_hidden))\n",
    "            self.qb2 = Gaussian(n_hidden)\n",
    "            self.qw3 = Gaussian((n_hidden, n_output))\n",
    "            self.qb3 = Gaussian(n_output)\n",
    "        self.posterior = [self.qw1, self.qb1, self.qw2, self.qb2, self.qw3, self.qb3]\n",
    "        self.prior = nn.Gaussian(0, 1)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.qw1() + self.qb1())\n",
    "        h = nn.tanh(h @ self.qw2() + self.qb2())\n",
    "        return nn.Bernoulli(logit=h @ self.qw3() + self.qb3())\n",
    "    \n",
    "    def kl(self):\n",
    "        kl = 0\n",
    "        for pos in self.posterior:\n",
    "            kl += nn.loss.kl_divergence(pos.q, self.prior).mean()\n",
    "        return kl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = BayesianNetwork(2, 5, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "for i in range(1, 2001, 1):\n",
    "    model.clear()\n",
    "    py = model(x_train)\n",
    "    elbo = py.log_pdf(y_train).mean(0).sum() - model.kl() / len(x_train)\n",
    "    optimizer.maximize(elbo)\n",
    "    if i % 100 == 0:\n",
    "        optimizer.learning_rate *= 0.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_grid = np.mgrid[-2:3:100j, -2:3:100j]\n",
    "x1, x2 = x_grid[0], x_grid[1]\n",
    "x_grid = x_grid.reshape(2, -1).T\n",
    "\n",
    "y = np.mean([model(x_grid).mean.value.reshape(100, 100) for _ in range(10)], axis=0)\n",
    "\n",
    "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train.ravel(), s=5)\n",
    "plt.contourf(x1, x2, y, np.linspace(0, 1, 11), alpha=0.2)\n",
    "plt.colorbar()\n",
    "plt.xlim(-2, 3)\n",
    "plt.ylim(-2, 3)\n",
    "plt.gca().set_aspect('equal', adjustable='box')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
